Question

The area of a parallelograrn is 60 cm? and one of its altitude is 5 cm
The length of its corresponding side is
(a) 12 cm
(b) 6 cm
(c) 4 cm
(d) 2 cm​

Answer 1

Given :-

Area of parallelogram= 60sq.cm

altitude of parallelogram= 5cn

To Find

we have to find out the length of corresponding side of parallelogram

Solution

As we know that

Area of parallelogram = Base × Height (altitude)

By putting the given values in the formula

$:\implies\sf\ \ Area= Base\times \ height\\ \\ \\ :\implies\sf\ \ 60= 5\times Base\\ \\ \\ :\implies\sf\ \cancel{\dfrac{60}{5}}= Base\\ \\ \\ :\implies\sf\ 12= Base\\ \\ \\ :\implies\underline{\boxed{\sf\ Base=12cm}}$

Some important formula :-

• Area of rectangle = length × breadth

• Area of square = side × side

• Area of rhombus = 1/2× product of diagonals

• Area of trapezium= 1/2×(sum of parallel sides) × Height

• Area of quadrilateral = 1/2 × d(h1+h2)

Answer 2

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${\large{\bold{\rm{\underline{Let's \; understand \; the \; concept \; 1^{st}}}}}}$

This question says that the area of a parallelogram is 60 cm and one of it's altitude is 5 cm. Altitude means height. We have to find the length of it's corresponding side. Some options are given below for help. Let's see.

• (a) 12 cm
• (b) 06 cm
• (c) 04 cm
• (d) 02 cm

Let's do this question properly!

${\large{\bold{\rm{\underline{Given \; that}}}}}$

★ Area of a parallelogram is 60 cm

★ One of it's altitude is 5 cm

${\large{\bold{\rm{\underline{To \; find}}}}}$

★ Length of it's corresponding side

${\large{\bold{\rm{\underline{Solution}}}}}$

★ Length of it's corresponding side = 12 cm

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${\large{\bold{\rm{\underline{Using \; concept}}}}}$

★ Formula to find area of parallelogram.

${\large{\bold{\rm{\underline{Using \; formula}}}}}$

★ Area of parallelogram = Base × Height

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${\large{\bold{\rm{\underline{Full \; Solution}}}}}$

↝ Area of parallelogram = Base × Height

↝ 60 = Base × 5

↝ 60/5 = Base

↝ 12 = Base

↝ Base = 12 cm

${\small{\boxed{\bf{Henceforth, \: 12 \: cm \: is \: length \: of \: corresponding \: side}}}}$

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${\large{\bold{\rm{\underline{Additional \; information}}}}}$

Parallelogram is that quadrilateral with each pair of opposite parallel side.

Properties of parallelogram -

• Opposite sides are equal.
• Opposite angles are equal
• Diagonal bisect one another

Some more formulas -

$\; \; \; \; \; \; \;{\sf{\bold{\leadsto Area \: of \: rectangle \: = \: Length \times Breadth}}}$

$\; \; \; \; \; \; \;{\sf{\bold{\leadsto Perimeter \: of \: rectangle \: = \:2(length+breadth)}}}$

$\; \; \; \; \; \; \;{\sf{\bold{\leadsto Perimeter \: of \: square \: = \: 4 \times sides}}}$

$\; \; \; \; \; \; \;{\sf{\bold{\leadsto Area \: of \: square \: = \: Side \times Side}}}$

$\; \; \; \; \; \; \;{\sf{\bold{\leadsto Area \: of \: triangle \: = \: \dfrac{1}{2} \times breadth \times height}}}$

$\; \; \; \; \; \; \;{\sf{\bold{\leadsto Area \: of \: paralloelogram \: = \: Breadth \times Height}}}$

$\; \; \; \; \; \; \;{\sf{\bold{\leadsto Area \: of \: circle \: = \: \pi b^{2}}}}$

$\; \; \; \; \; \; \;{\sf{\bold{\leadsto Perimeter \: of \: triangle \: = \: (1st \: + \: 2nd \: + 3rd) \: side}}}$

$\; \; \; \; \; \; \;{\sf{\bold{\leadsto Perimeter \: of \: paralloelogram \: = \: 2(a+b)}}}$

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